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Finding the Fourth Proportional to 8,584.46, 11,847.58 and 5,229.24

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Solution

The fourth proportional to 8,584.46, 11,847.58 and 5,229.24 is: 7,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.46 : 11,847.58 = 5,229.24 : x
  2. Step 2: Convert to fraction form
    8,584.46/11,847.58 = 5,229.24/x
  3. Step 3: Cross multiply
    8,584.46x = 11,847.58 × 5,229.24
  4. Step 4: Simplify right side
    8,584.46x = 61,953,839.24
  5. Step 5: Solve for x
    x = 61,953,839.24/8,584.46
  6. Step 6: Final answer
    x = 7,216.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.